带多重临界指数和Hardy项的椭圆方程组解的存在性  

Existence of Solutions to the Elliptic Systems Involving Multiple Critical Exponents

作　　者：康东升[1] 张微微[1] 吴红[1] 

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2013年第2期111-116,共6页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：国家民委科研基金资助项目(12ZNZ004)

摘　　要：研究了一类带有多重临界指数和Hardy位势项的椭圆方程组,运用变分原理和分析技巧,证明了当参变量范围较大时,该方程非平凡解的存在性.In this paper, a system of elliptic equations is investigated, which involves multiple critical Sobolev exponents and Hardy-type terms. By variational methods and analytic techniques, the existence of nontrivial solutions to the system is established for large range parameters.

关 键 词：椭圆方程 非平凡解 临界指数 HARDY不等式 变分方法 

分 类 号：O175.25[理学—数学]